Vortex interaction enhanced saturation number and caging effect in a superconducting film with a honeycomb array of nanoscale holes

Latimer, Michael; Berdiyorov, Golibjon; Xiao, Z. L.; Kwok, W. K.; Peeters, F. M.

doi:10.1103/physrevb.85.012505

Cited by 48 publications

(54 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Remarkably, the resistances at half matching field are smaller than the values at zero field for all temperatures considered. To our knowledge, this has not been reported up to now for other arrangements of artificial pinning centers [26][27][28][29]. The amplitude of the resistance dips increases with decreasing temperatures.…”

mentioning

confidence: 75%

“…Each pair of holes imitates the elongated double-well pinning sites considered in theory. [25] We measured the magnetic field dependences of the critical current and the magnetoresistance of the patterned films at various temperatures and found unusual matching effect which is different from that reported before: [26][27][28][29] fractional matchings are more pronounced than those at the usual integer matching fields. In particular, at half matching field the magnetoresistance can be smaller and the critical current can become larger than those at zero magnetic field.…”

mentioning

confidence: 83%

“…The resistance criterion 0.5R n (with R n the normal state resistance) gives us the zero-field critical temperature T c0 =5.1 K. Zero temperature coherence length ξ(0) and the penetration depth λ(0) were estimated to be equal to 6 nm and 400 nm, respectively. [29] Figure 1 shows measured magnetoresistance curves of the sample at different temperatures. As expected, resistance dip induced by commensurate pinning enhancement is observed at the first matching field H 1 = 156 Oe when each hole pins one flux quantum (see the top axis in Fig.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures

et al. 2013

Self Cite

View full text Add to dashboard Cite

We report an anomalous matching effect in MoGe thin films containing pairs of circular holes arranged in such a way that four of those pairs meet at each vertex point of a square lattice. A remarkably pronounced fractional matching was observed in the magnetic field dependences of both the resistance and the critical current. At the half matching field the critical current can be even higher than that at zero field. This has never been observed before for vortices in superconductors with pinning arrays. Numerical simulations within the nonlinear Ginzburg-Landau theory reveal a square vortex ice configuration in the ground state at the half matching field and demonstrate similar characteristic features in the field dependence of the critical current, confirming the experimental realization of an artificial ice system for vortices for the first time.PACS numbers: 74.78. Na, 74.40.Gh Artificial ice systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14] that can have properties similar to atomic spin ices [15][16][17][18][19][20] have been gaining tremendous interest in recent years in areas ranging from solid state systems, magnetism, and soft matter. Among them the two-dimensional (2D) artificial spin ices created using e.g., nanomagnetic arrays [1-8] and charged colloidal particle assemblies [9][10][11][12][13][14] have opened a new avenue in the study of novel phenomena such as geometrical frustration [7,8,[15][16][17][18][19][20][21][22][23][24] which can elucidate, e.g., exotic spin states, [16] charge quantization in magnetic monopoles, [21,22] and mechanisms of high-T c superconductivity. [24] In artificial nanomagnetic square spin ices, [1,8] however, the ice rule states with spin arrangements following "two spins in, two spins out" orders [17] have been only partially observed, which could be due to the weak interactions between the magnetic islands.Vortex matter in a superconductor has much stronger interactions relative to the pinning strength due to the much smaller size scale of the pinning array and could therefore permit a true ice rule obeying ground state. In a recent theoretical work Libal et al. proposed to create artificial square and Kagome ices with vortices in superconductors containing nanostructured arrays of pinning centers.[25] Using elongated double-well pinning sites arranged in a square lattice, for example, they were able to obtain the ground state of a square vortex ice which follows the "two vortices in, two vortices out" rule at each vertex, where the state of each double-well site is defined as "in" if the vortex sits close to the vertex and "out" otherwise. Such vortex systems can offer several advantages over the other artificial ices: [25] i) the ground state can be reached more rapidly as compared to nanomagnet systems due to the larger vortex-vortex interaction strength; ii) defect formation processes can be studied by changing the magnetic field to create vacancies or interstitials that locally break the ice rules; iii) different dynamical annealing protocols can be real...

show abstract

mentioning

confidence: 75%

mentioning

confidence: 83%

mentioning

confidence: 99%

See 1 more Smart Citation

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…For that reason, much attention has been given in the past to hampering vortex motion by introducing arrays of artificial pinning centers in superconductors, nanoengineered in size and geometry for optimal vortex pinning and enhancement of maximal sustainable magnetic field and electric current in the superconducting state [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] . Pinning is also of importance in type-I superconductors, for example in defining the structure of the intermediate state (IS) 18,19 , which is a very rich study object and has received a revival of interest in recent years [20][21][22][23][24][25][26][27][28][29][30][31][32] .…”

mentioning

confidence: 99%

Microfluidic manipulation of magnetic flux domains in type-I superconductors: droplet formation, fusion and fission

Berdiyorov

Miloševıć

Hernández-Nieves

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

The magnetic flux domains in the intermediate state of type-I superconductors are known to resemble fluid droplets, and their dynamics in applied electric current is often cartooned as a "dripping faucet". Here we show, using the time-depended Ginzburg-Landau simulations, that microfluidic principles hold also for the determination of the size of the magnetic flux-droplet as a function of the applied current, as well as for the merger or splitting of those droplets in the presence of the nanoengineered obstacles for droplet motion. Differently from fluids, the flux-droplets in superconductors are quantized and dissipative objects, and their pinning/depinning, nucleation, and splitting occur in a discretized form, all traceable in the voltage measured across the sample. At larger applied currents, we demonstrate how obstacles can cause branching of laminar flux streams or their transformation into mobile droplets, as readily observed in experiments.Moving superconducting vortices are known to be the main source for energy dissipation in current-carrying type-II superconductors, limiting their large scale energy-related applications. For that reason, much attention has been given in the past to hampering vortex motion by introducing arrays of artificial pinning centers in superconductors, nanoengineered in size and geometry for optimal vortex pinning and enhancement of maximal sustainable magnetic field and electric current in the superconducting state [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] . Pinning is also of importance in type-I superconductors, for example in defining the structure of the intermediate state (IS) 18,19 , which is a very rich study object and has received a revival of interest in recent years [20][21][22][23][24][25][26][27][28][29][30][31][32] . Contrary to type-II superconductors, the competition between the interface energy (that favors the formation of large normal domains) and the magnetic energy (that tends to form small normal domains) results in the formation of different spatially modulated IS structures in type-I superconductors 23,30 . There, flux tubes and lamellae are the most encountered shapes [18][19][20] , formation of which strongly depends on the size and shape of the samples [22][23][24] , as well as on the magnetic history of the system 18,19 .Unlike Abrikosov vortices in type-II superconductors, each carrying a single flux quantum Φ 0 = hc/2e 33,34 , flux droplets in type-I superconductors may contain hundreds of flux quanta and are considered as building blocks for the IS flux patterns 35,36 . When driven by applied current, these flux structures can undergo different dynamic phases, where the motion of droplets can be periodic (with single or multiple periods) as well as chaotic 21 . Recent numerical simulations revealed that type-I flux droplets are always decomposed into singly-quantized fluxoids during dynamic interactions, reaffirming that one flux quantum is the smallest and fundamental building block of the IS in type-I superconductors 25 . Stat...

show abstract

“…Various geometries of artificial pinning centers with vortex lattice have been investigated to observe the behavior of vortex motion and pinning interaction (Baert 1995;Cuppens et al 2011;He et al 2012;Jaccard et al 1998;Kamran et al 2015;de Lara et al 2010;Latimer et al 2012;Martin et al 1999Martin et al , 1997. All these studies have resulted in improving the current carrying properties of superconducting materials for use applications.…”

Section: Introductionmentioning

confidence: 99%

Modeling electrical properties for various geometries of antidots on a superconducting film

et al. 2017

View full text Add to dashboard Cite

Electrical properties, specifically critical current density, of a superconducting film carry a substantial importance in superconductivity. In this work, we measure and study the current-voltage curves for a superconducting Nb film with various geometries of antidots to tune the critical current. We carry out the measurements on a commercially available physical property measurement system to obtain these so-called transport measurements. We show that each of the used geometries exhibits a vastly different critical current, due to which repeatedly performing the measurements independently for each geometry becomes indispensable. To circumvent this monotonous measurement procedure, we also propose a framework based on artificial neural networks to predict the curves for different geometries using a small subset of measurements, and facilitate extrapolation of these curves over a wide range of parameters including temperature and magnetic field. The predicted curves are then crosschecked using the physical measurements; our results suggest a negligible mean-squared error-in the order of 10 À9 .

show abstract

Vortex interaction enhanced saturation number and caging effect in a superconducting film with a honeycomb array of nanoscale holes

Cited by 48 publications

References 36 publications

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures

Microfluidic manipulation of magnetic flux domains in type-I superconductors: droplet formation, fusion and fission

Modeling electrical properties for various geometries of antidots on a superconducting film

Contact Info

Product

Resources

About